Counting Ω-ideals

Let A be a universal algebra of signature Omega, and let I be an ideal in the Boolean algebra P(A) of all subsets of A. We say that I is an Omega-ideal if I contains all finite subsets of A and f(A(n)). I for every n-ary operation f epsilon Omega and every A epsilon I. We prove that there are 2(2 aleph 0) Omega-ideals in PA provided that A is countably infinite and Omega is countable.